Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials
journal contribution
posted on 2014-11-10, 14:26 authored by A.N. Sergeev, Alexander VeselovAlexander VeselovIt is shown that the deformed Macdonald-Ruijsenaars operators can be
described as the restrictions on certain affine subvarieties of the usual Macdonald-
Ruijsenaars operator in infinite number of variables. The ideals of these varieties are
shown to be generated by the Macdonald polynomials related to Young diagrams with
special geometry. The super Macdonald polynomials and their shifted version are introduced;
the combinatorial formulas for them are given.
Funding
This work has been partially supported by the EPSRC (grant EP/E004008/1), European Union through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652) and ESF programme MISGAM.
History
School
- Science
Department
- Mathematical Sciences
Published in
COMMUNICATIONS IN MATHEMATICAL PHYSICSVolume
288Issue
2Pages
653 - 675 (23)Citation
SERGEEV, A.N. and VESELOV, A.P., 2009. Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Communications in Mathematical Physics, 288 (2), pp. 653 - 675.Publisher
© Springer-VerlagVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2009Notes
This article was published in the journal, Communications in Mathematical Physics [© Springer-Verlag.]. The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-009-0779-3.ISSN
0010-3616Publisher version
Language
- en
